When chess calculating should you say the notation in your head such as Nf3 c4 Bxd3 or just move the pieces in your head?
move the pieces in your head
when your a true pro its all Muscle memory
You've just asked a very complex question. Mostly, I would say ''move the pieces in your head'', but that's not quite it either. You're looking for positions that are SIGNIFICANT. Chess is practically infinite. (Technically, it's finite, but the numbers are just mind-boggling. On a human scale, you might as well say infinite). The study of tactics, positional play, endgames, etc... are meant to give you shortcuts you can use. If you can learn key patterns and position, you save yourself a lot of calculation. When looking at a position, from a tactical point of view, you're trying to figure out what's relevant and what's not.
Wire and String
move the pieces in your head...but trying to do it using notation is good practice if your goal is to one day play blind simuls like a GM, lol. https://www.youtube.com/watch?v=lqmzadHNSLs